Find the Distance Between Two Points (5,0) and (2,-2)

$(5, 0)$ and $(2, - 2)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{(2 - 5)}^{2} + {((- 2) - 0)}^{2}}$

Step 3

Simplify.

Subtract $5$ from $2$ .

$\sqrt{{(- 3)}^{2} + {((- 2) - 0)}^{2}}$

Raise $- 3$ to the power of $2$ .

$\sqrt{9 + {((- 2) - 0)}^{2}}$

Subtract $0$ from $- 2$ .

$\sqrt{9 + {(- 2)}^{2}}$

Raise $- 2$ to the power of $2$ .

$\sqrt{9 + 4}$

Add $9$ and $4$ .

$\sqrt{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{13}$

Decimal Form:

$3.60555127 \dots$

Step 5